Finding the Third Proportional to 19,589 and 27,061

Step by Step Solution

1. Step 1: Write the proportion equation
   19,589 : 27,061 = 27,061 : x
2. Step 2: Convert to fraction form
   19,589/27,061 = 27,061/x
3. Step 3: Cross multiply
   19,589x = 27,061 × 27,061
4. Step 4: Simplify right side
   19,589x = 732,297,721
5. Step 5: Solve for x
   x = 732,297,721/19,589
6. Step 6: Final answer
   x = 37,383.11